Triangular functions in solving Weakly Singular Volterra integral equations

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:7 Issue:1
Triangular functions in solving Weakly Singular Volterra integral equations

Triangular functions in solving Weakly Singular Volterra integral equations

Authors : Monireh NOSRATİ, Hojjat AFSHARİ

Pages : 195-204

Doi:10.31197/atnaa.1236577

View : 100 | Download : 122

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :In this paper, we propose the triangular orthogonal functions as a basis functions for solution of weakly singular Volterra integral equations of the second kind. Powerful properties of these functions and some operational matrices are utilized in a direct method to reduce singular integral equation to some algebraic equations. The presented method does not need any integration for obtaining the constant coefficients. The method is computationally attractive, and applications are demonstrated through illustrative examples.
Keywords : triangular functions, Abel integral equation, operational matrices, error analysis, triangular functions, Abel integral equation, operational matrices, error analysis

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